10768464 has 100 divisors (see below), whose sum is σ = 35649504. Its totient is φ = 3074112.

The previous prime is 10768453. The next prime is 10768477. The reversal of 10768464 is 46486701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8479 + ... + 9665.

Almost surely, 2^10768464 is an apocalyptic number.

10768464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10768464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17824752).

10768464 is an abundant number, since it is smaller than the sum of its proper divisors (24881040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10768464 is a wasteful number, since it uses less digits than its factorization.

10768464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 10768464 is about 3281.5337877279. The cubic root of 10768464 is about 220.8265327284.

The spelling of 10768464 in words is "ten million, seven hundred sixty-eight thousand, four hundred sixty-four".